Consider the idealized, symmetric two-cell wing box shown in the figure below. The area enclosed by...

 

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Consider the idealized, symmetric two-cell wing box shown in the figure below. The area enclosed by the semi-elliptical web 45 is 51,500 mm². The shear modulus of the material is G = 27 GPa. Additional geometric data is given in the table below the figure. 4 3 Web 34, 56 12, 23, 67, 78 36,81 45 5 380 mm Length [mm] 380 356 306 610 6 356 mm 0.915 0.915 1.220 1.220 2 7 356 mm Thickness [mm] Stringer 1, 3, 6, 8 2, 4, 5, 7 1 8 153 mm 153 mm y Area [mm²] 1290 645 a) Calculate the moment of inertia ly of the section. [5 points] b) Find the shear flows in the webs and the location of the shear center relative to web 36 if a shear force of V₂ = 66.75 kN is applied through the shear center. [15 points] Consider the idealized, symmetric two-cell wing box shown in the figure below. The area enclosed by the semi-elliptical web 45 is 51,500 mm². The shear modulus of the material is G = 27 GPa. Additional geometric data is given in the table below the figure. 4 3 Web 34, 56 12, 23, 67, 78 36,81 45 5 380 mm Length [mm] 380 356 306 610 6 356 mm 0.915 0.915 1.220 1.220 2 7 356 mm Thickness [mm] Stringer 1, 3, 6, 8 2, 4, 5, 7 1 8 153 mm 153 mm y Area [mm²] 1290 645 a) Calculate the moment of inertia I, of the section. [5 points] b) Find the shear flows in the webs and the location of the shear center relative to web 36 if a shear force of V₂ = 66.75 kN is applied through the shear center. [15 points] Consider the idealized, symmetric two-cell wing box shown in the figure below. The area enclosed by the semi-elliptical web 45 is 51,500 mm². The shear modulus of the material is G = 27 GPa. Additional geometric data is given in the table below the figure. 4 3 Web 34, 56 12, 23, 67, 78 36,81 45 5 380 mm Length [mm] 380 356 306 610 6 356 mm 0.915 0.915 1.220 1.220 2 7 356 mm Thickness [mm] Stringer 1, 3, 6, 8 2, 4, 5, 7 1 8 153 mm 153 mm y Area [mm²] 1290 645 a) Calculate the moment of inertia ly of the section. [5 points] b) Find the shear flows in the webs and the location of the shear center relative to web 36 if a shear force of V₂ = 66.75 kN is applied through the shear center. [15 points] Consider the idealized, symmetric two-cell wing box shown in the figure below. The area enclosed by the semi-elliptical web 45 is 51,500 mm². The shear modulus of the material is G = 27 GPa. Additional geometric data is given in the table below the figure. 4 3 Web 34, 56 12, 23, 67, 78 36,81 45 5 380 mm Length [mm] 380 356 306 610 6 356 mm 0.915 0.915 1.220 1.220 2 7 356 mm Thickness [mm] Stringer 1, 3, 6, 8 2, 4, 5, 7 1 8 153 mm 153 mm y Area [mm²] 1290 645 a) Calculate the moment of inertia I, of the section. [5 points] b) Find the shear flows in the webs and the location of the shear center relative to web 36 if a shear force of V₂ = 66.75 kN is applied through the shear center. [15 points]